Name: ______________________________

Date: May 5, 2017

Homeroom:

7th Grade Math:

Unit: Geometry

Packet 130: Checking for

Identical Triangles

Objectives: Scholars will be able to use conditions that determine a unique triangle

to determine when two triangles are identical. Agenda:

1. Review Do Now 6. Quick Check Independent Practice2. Conditions that Determine a

Unique Triangle7. Independent Practice

3. Checking for Identical Triangles 8. Exit Ticket4. Quick Check Independent Practice 9. Homework Overview5. Drawing Triangles Homework 130: Checking for

Identical TrianglesDo Now:

1. 6r + 7 = 13 + 7r

2. 7a – 3 = 3 + 6a

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Conditions that Determine a Unique Triangle

1. How are the terms identical and unique related?

Checking for Identical Triangles2

In the example below and Exercises 1-3, two triangles are given. State whether the triangles are identical, not identical, or not necessarily identical. If possible, give the triangle conditions that explain why the triangles are identical, and write a triangle correspondence that matches the sides and angles. If the triangles are not identical, explain why. If it is not possible to definitively determine whether the triangles are identical, write “the triangles are not necessarily identical,” and explain your reasoning.

Quick Check Independent Practice

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Drawing Triangles4

In the example below and in exercises 1-3, three pieces of information are given for triangle ΔABC and ΔXYZ. Draw, freehand, the two triangles (do not worry about scale), and mark the given information. If the triangles are identical, give a triangle correspondence that matches equal angles and equal sides. Explain your reasoning.

a. AB = XZ, AC = XY, ∠A = ∠X

Quick Check Independent Practice1. ∠A = ∠Z, ∠B = ∠Y, AB = YZ

2. ∠A = ∠Z, ∠B = ∠Y, BC = XY

3. ∠A = ∠Z, ∠B = ∠Y, BC = XZ

Independent Practice

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In each of the following four problems, two triangles are given. State whether the triangles are identical, not identical, or not necessarily identical. If possible, give the triangle conditions that explain why the triangles are identical, and write a triangle correspondence that matches the sides and angles. If the triangles are not identical, explain why. If the triangles are not identical, explain why. If it is not possible to definitively determine whether the triangles are identical, write “the triangles are not necessarily identical,” and explain your reasoning.

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For the following problems, three pieces of information are given for ΔABC and ΔXYZ. Draw, freehand, the two triangles (do not worry about scale) and mark the given information. If the triangles are identical, give a triangle correspondence that matches equal angles and equal sides. Explain your reasoning.

1. AB=ZY , BC=ZX , AC=YX

2. AB=ZY , BC=ZX , ∠C=∠Y

3. AB=XZ , ∠ A=∠Z, ∠C=∠Y

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Directions: Answer the following questions. Show all of your work and circle your final answer.

1. Which of the following cannot be used to prove that two triangles are congruent?

A. Angle, Angle, Side (AAS)

B. Side, Angle, Side (SAS)

C. Side, Side, Side (SSS)

D. Angle, Angle, Angle (AAA)

2. Which pair of triangles shows congruency by the Side, Angle, Side Condition?

A. Figure A

B. Figure B

C. Figure C

D. Figure D3. Which of the following conditions can be used to prove that the triangles

below are congruent?

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Name: ______________________________

Date: May 5, 2017

Homeroom:

Mrs. Petrozzi: (614) 725-9693

7th Grade Math:

Unit: Geometry

Packet 130: Checking for

Identical Triangles

Redo: Score: ________/5 _________% DNG A B C D F

A. Angle, Side, Angle

B. Side, Side, Side

C. Side, Angle, Side

D. Angle, Angle, Side

4. Which of the following conditions can be used to prove ΔPQR ≅ ΔABC?

A. Side, Side, Side

B. Angle, Side, Angle

C. Side, Angle, Side

D. Angle, Angle, Side

5. Are the following triangles identical? How do you know? Answer in complete sentences.

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Name: ______________________________

Date: May 5, 2017

Homeroom:

7th Grade Math:

Unit: Geometry

Packet 130: Checking for

Identical Triangles

Directions: Answer the following questions. Circle your final answers. When you finish the exit ticket, place it face down on your desk and assign yourself to your advanced work or an independent reading book.

Angles ∠A and ∠D are equal in measure. Draw two triangles around each angle and mark parts appropriately so that the triangles are identical; use angles ∠A and ∠D as part of the chosen condition. Write a correspondence for the triangles.

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